English

Charging Black Saturn?

High Energy Physics - Theory 2008-12-18 v3 General Relativity and Quantum Cosmology

Abstract

We construct new charged static solutions of the Einstein-Maxwell field equations in five dimensions via a solution generation technique utilizing the symmetries of the reduced Lagrangian. By applying our method on the multi-Reissner-Nordstrom solution in four dimensions, we generate the multi-Reissner-Nordstrom solution in five dimensions. We focus on the five-dimensional solution describing a pair of charged black objects with general masses and electric charges. This solution includes the double Reissner-Nordstrom solution as well as the charged version of the five-dimensional static black Saturn. However, all the black Saturn configurations that we could find present either a conical singularity or a naked singularity. We also obtain a non-extremal configuration of charged black strings that reduces in the extremal limit to a Majumdar-Papapetrou like solution in five dimensions.

Keywords

Cite

@article{arxiv.0809.0154,
  title  = {Charging Black Saturn?},
  author = {Brenda Chng and Robert Mann and Eugen Radu and Cristian Stelea},
  journal= {arXiv preprint arXiv:0809.0154},
  year   = {2008}
}

Comments

27 pages, 3 figures, v.3 added more references, corrected typos

R2 v1 2026-06-21T11:15:29.194Z